g.b

Asked by PRAMOD | 7th Dec, 2013, 05:53: PM

Expert Answer:

A given sequence of numbers a 1, a 2, a 3, ... , an is an A.P. if a – a n –1 = Constant. This constant is called the common difference of A.P.

Given, n th term of an A.P., a = a + nb

Replacing n by n – 1, we get a n–1 = a + (n – 1) b

Now, a – a n –1 = a + nb - a - (n-1)b = b, which is a constant

Thus, the sequence is an AP. 

And, Common difference = b

Answered by  | 7th Dec, 2013, 07:29: PM

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